A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

E. Chavez; C. Landim

doi:10.1007/s10955-016-1514-z

A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

E. Chavez
, C. Landim

Producción científica: Contribución a una revista › Artículo de revista › revisión exhaustiva

1 Cita (Scopus)

Resumen

We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N²ϵ_N^-1, where 1≪ϵ_N^-1≪N^1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵ_N.

Idioma original	Inglés
Páginas (desde-hasta)	1079-1107
Número de páginas	29
Publicación	Journal of Statistical Physics
Volumen	163
N.º	5
DOI	https://doi.org/10.1007/s10955-016-1514-z
Estado	Publicada - 1 jun. 2016

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© 2016, Springer Science+Business Media New York.

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abstract = "We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.",

keywords = "Boundary driven interacting particle systems, First order correction, Hydrodynamic equation, Quasi-static transformations",

author = "E. Chavez and C. Landim",

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AU - Chavez, E.

AU - Landim, C.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.

AB - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.

KW - Boundary driven interacting particle systems

KW - First order correction

KW - Hydrodynamic equation

KW - Quasi-static transformations

UR - https://www.scopus.com/pages/publications/84964091865

U2 - 10.1007/s10955-016-1514-z

DO - 10.1007/s10955-016-1514-z

M3 - Article in a journal

AN - SCOPUS:84964091865

SN - 0022-4715

VL - 163

SP - 1079

EP - 1107

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5

ER -

A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale

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